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Finding the Fourth Proportional to 201,210.35, 301,851.98 and 101,118.65

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Solution

The fourth proportional to 201,210.35, 301,851.98 and 101,118.65 is: 151,696.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,210.35 : 301,851.98 = 101,118.65 : x
  2. Step 2: Convert to fraction form
    201,210.35/301,851.98 = 101,118.65/x
  3. Step 3: Cross multiply
    201,210.35x = 301,851.98 × 101,118.65
  4. Step 4: Simplify right side
    201,210.35x = 30,522,864,211.83
  5. Step 5: Solve for x
    x = 30,522,864,211.83/201,210.35
  6. Step 6: Final answer
    x = 151,696.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.